Results 211 to 220 of about 4,367 (259)

A new distance between rankings. [PDF]

open access: yesHeliyon
Dezert J, Shekhovtsov A, Sałabun W.
europepmc   +1 more source

Unions and the axiom of choice

Mathematical Logic Quarterly, 2008
AbstractWe study statements about countable and well‐ordered unions and their relation to each other and to countable and well‐ordered forms of the axiom of choice. Using WO as an abbreviation for “well‐orderable”, here are two typical results: The assertion that every WO family of countable sets has a WO union does not imply that every countable ...
Omar De La Cruz   +2 more
exaly   +3 more sources

RUSSELL'S ALTERNATIVE TO THE AXIOM OF CHOICE

Zeitschrift Für Mathematische Logik Und Grundlagen Der Mathematik, 1992
AbstractWe prove the independence of some weakenings of the axiom of choice related to the question if the unions of wellorderable families of wellordered sets are wellorderable.
Norbert Brunner
exaly   +2 more sources

The Axiom of Choice in Quantum Theory

Mathematical Logic Quarterly, 1996
AbstractWe construct peculiar Hilbert spaces from counterexamples to the axiom of choice. We identify the intrinsically effective Hamiltonians with those observables of quantum theory which may coexist with such spaces. Here a self adjoint operator is intrinsically effective if and only if the Schrödinger equation of its generated semigroup is soluble ...
Matthias Baaz   +2 more
openaire   +1 more source

The axiom of choice

1991
AbstractIn § 9.4 a principle — the axiom of countable choice — was introduced which differed from the axioms of this book's default theory because it asserted the existence of a set of a particular sort (actually, in this case, a sequence) without supplying a condition that characterizes it uniquely.
openaire   +1 more source

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